A coring apparatus permitting the taking of a non-rotating core sample and testing of same, as by NMR, prior to breakage and ejection from the apparatus. A core barrel is suspended from a rotating outer sleeve by one or more bearing assemblies which permit the core barrel to remain stationary during rotation of the sleeve with attached core bit for cutting the core. A core test device is fixed with respect to the core barrel on the outside thereof to test the core as it proceeds through the barrel. The apparatus optionally includes a directional detecting device such as an inclinometer and a compact set of circumferentially-spaced steering arms for changing the direction of the apparatus during coring.